Milk River is a town in Alberta, Canada that is named after the Milk River which flows immediately to its south. This location results in Milk Rive…Milk River is a town in Alberta, Canada that is named after the Milk River which flows immediately to its south. This location results in Milk River being one of the few Canadian communities within the Mississippi River drainage system. It is 70 kilometres south of Lethbridge, and 16 kilometres from the Canada–United States border. It is primarily a service centre for the many farms and cattle ranches which surround it.